Multipartite monogamous relations for Entanglement and Discord

TL;DR

This paper explores how quantum correlations like entanglement and discord are shared among multiple parties in a quantum system, establishing new relations that clarify their distribution in multipartite states.

Contribution

It introduces novel monogamylike relations between entanglement and discord for n-partite systems, providing a framework for understanding their distribution.

Findings

Derived new equalities and inequalities for quantum discord and entanglement of formation.

Clarified the distribution constraints of quantum correlations in multipartite pure states.

Enhanced understanding of quantum correlation sharing in quantum information theory.

Abstract

The distribution of quantum correlations in multipartite systems play a significant role in several aspects of the quantum information theory. While it is well known that these quantum correlations can not be freely distributed, the way that it is shared in multipartite system is an open problem even for small set of qubits. Based on new monogamylike relations between entanglement and discord for $n$-partite systems, we show how these correlations are distributed in general, determining distinct equalities and inequalities to the quantum discord and the entanglement of formation for arbitrary multipartite pure states.